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Finding the Fourth Proportional to 256,681.40, 385,048.49 and 96,891.93

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Solution

The fourth proportional to 256,681.40, 385,048.49 and 96,891.93 is: 145,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,681.40 : 385,048.49 = 96,891.93 : x
  2. Step 2: Convert to fraction form
    256,681.40/385,048.49 = 96,891.93/x
  3. Step 3: Cross multiply
    256,681.40x = 385,048.49 × 96,891.93
  4. Step 4: Simplify right side
    256,681.40x = 37,308,091,339.69
  5. Step 5: Solve for x
    x = 37,308,091,339.69/256,681.40
  6. Step 6: Final answer
    x = 145,347.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.